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lubasha [3.4K]
3 years ago
7

Directions: Post your answer to this question in your Unit 8: Journal 1.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

Tan(∠A) is 4/3.

Step-by-step explanation:

To answer this question, we first need a basic understanding of sin, cos, and tan. The sin of an angle is the opposite over hypotenuse, the cos is adjacent over hypotenuse, and the tan is the opposite over adjancent.

Since sin(∠A) is 4/7, that makes 4 the opposite and 7 the hypotenuse.

Since cos(∠A) is 3/7, that makes 3 the adjacent the 7 the hypotenuse again.

So to get tan(∠A), we just have to put 4/3 since that is the opposite over the adjacent.

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Answer:

504 cm2

Step-by-step explanation:

Formula + l x w x h divided by 2

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remember to include the unit of measurement in your answer

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4 0
3 years ago
What is the solution to the inequality 6 − 2x < 4?
slega [8]
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4 0
3 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
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Step-by-step explanation:

5 0
2 years ago
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DedPeter [7]

Answer:

The correct value is 12.

7 0
3 years ago
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